ALT

Abstract

We will discuss the category of weight modules with nonzero central charge over affine Lie algebras. Though the classification of irreducible modules with finite-dimensional weight spaces in this category is known, it remains open in general. The talk will focus on recent progress in the study of parabolic induction for affine Kac-Moody algebras which provides a recipe to construct new irreducible modules is the above category. The talk is based on joint results with I.Kashuba.